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Simplifying (4x2 + 2x + 5) + (7x2 + -5x + 2) = 0 Reorder the terms: (5 + 2x + 4x2) + (7x2 + -5x + 2) = 0 Remove parenthesis around (5 + 2x + 4x2) 5 + 2x + 4x2 + (7x2 + -5x + 2) = 0 Reorder the terms: 5 + 2x + 4x2 + (2 + -5x + 7x2) = 0 Remove parenthesis around (2 + -5x + 7x2) 5 + 2x + 4x2 + 2 + -5x + 7x2 = 0 Reorder the terms: 5 + 2 + 2x + -5x + 4x2 + 7x2 = 0 Combine like terms: 5 + 2 = 7 7 + 2x + -5x + 4x2 + 7x2 = 0 Combine like terms: 2x + -5x = -3x 7 + -3x + 4x2 + 7x2 = 0 Combine like terms: 4x2 + 7x2 = 11x2 7 + -3x + 11x2 = 0 Solving 7 + -3x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.6363636364 + -0.2727272727x + x2 = 0 Move the constant term to the right: Add '-0.6363636364' to each side of the equation. 0.6363636364 + -0.2727272727x + -0.6363636364 + x2 = 0 + -0.6363636364 Reorder the terms: 0.6363636364 + -0.6363636364 + -0.2727272727x + x2 = 0 + -0.6363636364 Combine like terms: 0.6363636364 + -0.6363636364 = 0.0000000000 0.0000000000 + -0.2727272727x + x2 = 0 + -0.6363636364 -0.2727272727x + x2 = 0 + -0.6363636364 Combine like terms: 0 + -0.6363636364 = -0.6363636364 -0.2727272727x + x2 = -0.6363636364 The x term is -0.2727272727x. Take half its coefficient (-0.1363636364). Square it (0.01859504133) and add it to both sides. Add '0.01859504133' to each side of the equation. -0.2727272727x + 0.01859504133 + x2 = -0.6363636364 + 0.01859504133 Reorder the terms: 0.01859504133 + -0.2727272727x + x2 = -0.6363636364 + 0.01859504133 Combine like terms: -0.6363636364 + 0.01859504133 = -0.61776859507 0.01859504133 + -0.2727272727x + x2 = -0.61776859507 Factor a perfect square on the left side: (x + -0.1363636364)(x + -0.1363636364) = -0.61776859507 Can't calculate square root of the right side. The solution to this equation could not be determined.
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